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Finding the Fourth Proportional to 230.12, 318.12 and 220.46

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Solution

The fourth proportional to 230.12, 318.12 and 220.46 is: 304.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.12 : 318.12 = 220.46 : x
  2. Step 2: Convert to fraction form
    230.12/318.12 = 220.46/x
  3. Step 3: Cross multiply
    230.12x = 318.12 × 220.46
  4. Step 4: Simplify right side
    230.12x = 70,132.74
  5. Step 5: Solve for x
    x = 70,132.74/230.12
  6. Step 6: Final answer
    x = 304.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.